6 papers
Moving Least Squares without Quasi-Uniformity: A Stochastic Approach
Shir Tapiro-Moshe, Yariv Aizenbud, Barak Sober
Local Polynomial Regression (LPR) and Moving Least Squares (MLS) are closely related nonparametric estimation methods, developed independently in statistics and approximation theor…
Molecular diversity as a biosignature
Gideon Yoffe, Fabian Klenner, Barak Sober +2
The search for life in the Solar System hinges on data from planetary missions. Detecting biosignatures based on molecular identity, isotopic composition, or chiral excess requires…
Probabilistic Multilabel Graphical Modelling of Motif Transformations in Symbolic Music
Ron Taieb, Yoel Greenberg, Barak Sober
Motifs often recur in musical works in altered forms, preserving aspects of their identity while undergoing local variation. This paper investigates how such motivic transformation…
An Information-Theoretic Approach to Identifying Formulaic Clusters in Textual Data
Gideon Yoffe, Yair Segev, Barak Sober
Texts, whether literary or historical, exhibit structural and stylistic patterns shaped by their purpose, authorship, and cultural context. Formulaic texts, which are characterized…
Estimating the Influence of Sequentially Correlated Literary Properties in Textual Classification: A Data-Centric Hypothesis-Testing Approach
Gideon Yoffe, Nachum Dershowitz, Ariel Vishne +1
We introduce a data-centric hypothesis-testing framework to quantify the influence of sequentially correlated literary properties--such as thematic continuity--on textual classific…
Estimation of Local Geometric Structure on Manifolds from Noisy Data
Yariv Aizenbud, Barak Sober
A common observation in data-driven applications is that high-dimensional data have a low intrinsic dimension, at least locally. In this work, we consider the problem of point esti…